{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Demagnetizing factors presented by Stoner (1945)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook aims at reproducing the demagnetizing factors values presented by Stoner (1945)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Stoner, E. C.: The demagnetizing factors for ellipsoids, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 36, 803–821, 1945."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Import the required modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from __future__ import division\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import os\n",
    "from matplotlib import pyplot as plt\n",
    "from fatiando import utils\n",
    "import mesher\n",
    "import prolate_ellipsoid, oblate_ellipsoid, triaxial_ellipsoid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# Set some plot parameters\n",
    "from matplotlib import rcParams\n",
    "rcParams['figure.dpi'] = 300.\n",
    "rcParams['font.size'] = 6\n",
    "rcParams['xtick.labelsize'] = 'medium'\n",
    "rcParams['ytick.labelsize'] = 'medium'\n",
    "rcParams['axes.labelsize'] = 'large'\n",
    "rcParams['legend.fontsize'] = 'medium'\n",
    "rcParams['savefig.dpi'] = 300."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stoner (1945, Fig. 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Squared eccentricity $\\epsilon^{2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "e2 = np.linspace(0.001, 0.99, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.99949987  0.99448987  0.9894545   0.98439337  0.97930608  0.97419223\n",
      "  0.96905139  0.96388314  0.95868702  0.95346259  0.94820937  0.94292689\n",
      "  0.93761464  0.93227212  0.92689882  0.92149418  0.91605765  0.91058867\n",
      "  0.90508664  0.89955095  0.893981    0.88837611  0.88273565  0.87705891\n",
      "  0.87134518  0.86559374  0.85980383  0.85397466  0.84810543  0.8421953\n",
      "  0.8362434   0.83024884  0.82421067  0.81812794  0.81199965  0.80582475\n",
      "  0.79960217  0.79333079  0.78700943  0.78063688  0.77421188  0.76773312\n",
      "  0.76119921  0.75460874  0.74796019  0.74125201  0.73448257  0.72765015\n",
      "  0.72075297  0.71378915  0.70675671  0.69965359  0.69247762  0.6852265\n",
      "  0.67789782  0.67048904  0.66299748  0.65542029  0.64775447  0.63999684\n",
      "  0.63214402  0.62419241  0.61613818  0.60797727  0.59970531  0.59131765\n",
      "  0.58280929  0.57417486  0.56540859  0.55650424  0.54745509  0.53825382\n",
      "  0.5288925   0.51936247  0.50965427  0.49975752  0.48966078  0.47935141\n",
      "  0.4688154   0.45803709  0.44699897  0.43568128  0.42406165  0.41211453\n",
      "  0.39981056  0.38711573  0.37399022  0.360387    0.34624975  0.33151017\n",
      "  0.31608399  0.29986529  0.28271769  0.26446057  0.24484586  0.22351643\n",
      "  0.19992423  0.17314675  0.14138564  0.1       ]\n"
     ]
    }
   ],
   "source": [
    "# m = a/b\n",
    "m = np.sqrt(1 - e2)\n",
    "\n",
    "print m"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "#### Prolate ellipsoids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# semi-axes (in m)\n",
    "a0 = 100\n",
    "b = a0*m\n",
    "\n",
    "# demagnetizing factors\n",
    "n11_prolate = []\n",
    "n22_prolate = []\n",
    "\n",
    "for bi in b:\n",
    "    ellipsoid = mesher.ProlateEllipsoid(0, 0, 0, a0, bi, 29, -50, 180)\n",
    "    N1, N2 = prolate_ellipsoid.demag_factors(ellipsoid)\n",
    "    n11_prolate.append(N1)\n",
    "    n22_prolate.append(N2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "#### Oblate ellipsoids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# semi-axes (in m)\n",
    "b0 = 100\n",
    "a = b0*m\n",
    "\n",
    "# demagnetizing factors\n",
    "n11_oblate = []\n",
    "n22_oblate = []\n",
    "\n",
    "for ai in a:\n",
    "    ellipsoid = mesher.OblateEllipsoid(0, 0, 0, ai, b0, -13, 10, 180)\n",
    "    N1, N2 = oblate_ellipsoid.demag_factors(ellipsoid)\n",
    "    n11_oblate.append(N1)\n",
    "    n22_oblate.append(N2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "#### Plot the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-1.  -0.8 -0.6 -0.4 -0.2  0.   0.2  0.4  0.6  0.8  1. ]\n",
      "[ 1.   0.8  0.6  0.4  0.2  0.   0.2  0.4  0.6  0.8  1. ]\n"
     ]
    }
   ],
   "source": [
    "x = np.linspace(-1, 1, 11)\n",
    "xlables = x.copy()\n",
    "xlables[xlables < 0] *= -1\n",
    "\n",
    "print x\n",
    "print xlables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA9sAAAJvCAYAAABrpcILAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xaae4710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lenght = 3.27\n",
    "plt.close('all')\n",
    "plt.figure(figsize=(lenght, 0.6*lenght))\n",
    "\n",
    "label_fontsize = 10\n",
    "label_tex_fontsize = 10\n",
    "\n",
    "plt.plot([0, 0], [0, 1], 'k-')\n",
    "plt.plot([-1, 1], [0.5, 0.5], 'k-')\n",
    "plt.plot([-1, 1], [1/3 + 2/15, 1/3 - 2/15], color=(0.6, 0.6, 0.6))\n",
    "plt.plot([-1, 1], [1/3 - 1/15, 1/3 + 1/15], color=(0.6, 0.6, 0.6))\n",
    "plt.plot(-e2, n11_oblate, color='r')\n",
    "plt.plot(-e2, n22_oblate, color='g')\n",
    "plt.plot(e2, n11_prolate, color='r')\n",
    "plt.plot(e2, n22_prolate, color='g')\n",
    "plt.ylabel('demagnetizing factor')\n",
    "#plt.xlabel('$\\epsilon^{2}$', fontsize=label_tex_fontsize)\n",
    "plt.xlim(-1, 1)\n",
    "plt.ylim(0, 1)\n",
    "plt.xticks(x, xlables)\n",
    "plt.yticks(np.linspace(0, 1, 6))\n",
    "\n",
    "plt.annotate(s='Oblate', xy=(0.17,0.85), \n",
    "              xycoords = 'axes fraction', color='k',\n",
    "              fontsize=label_fontsize, backgroundcolor='w')\n",
    "plt.annotate(s='Prolate', xy=(0.66,0.85), \n",
    "              xycoords = 'axes fraction', color='k',\n",
    "              fontsize=label_fontsize, backgroundcolor='w')\n",
    "\n",
    "plt.annotate(s='$1 - m^{2}$', xy=(0.29,0.02), color='k',\n",
    "             xycoords='figure fraction', fontsize=label_fontsize)\n",
    "plt.annotate(s='$(m^{2} - 1)/m^{2}$', xy=(0.64,0.02), color='k',\n",
    "             xycoords='figure fraction', fontsize=label_fontsize)\n",
    "\n",
    "plt.grid()\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "source": [
    "Demagnetizing factors $\\tilde{n}^{\\dagger}_{11}$ (in red) and $\\tilde{n}^{\\dagger}_{22}$ (in green) for prolate (Eqs. 34 and 35) and oblate (Eqs. 36 and 37) ellipsoids as functions of eccentricity $\\epsilon$. For prolate ellipsoids, $\\epsilon^{2} = (m^{2} - 1)/m^{2}$, and for oblate ellipsoids, $\\epsilon^{2} = 1 - m^{2}$, where $m = a/b$. The straight lines of slopes $-2/15$ and $+1/15$ (in grey) are tangential to the curves at $\\epsilon^{2} = 0$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stoner (1945, Table I)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Data presented by Stoner (1945, Table I)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fname = 'Stoner1945_TableI.txt'\n",
    "file_path = os.path.join(os.path.pardir, 'data', fname)\n",
    "m, Da = np.loadtxt(file_path, unpack=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "editable": true
   },
   "source": [
    "#### Triaxial ellipsoids 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# semi-axes (in m)\n",
    "b0 = 100.1\n",
    "c0 = 99.9\n",
    "a = 100*m[m > 1]\n",
    "\n",
    "# demagnetizing factors\n",
    "n11_triaxial1 = []\n",
    "n22_triaxial1 = []\n",
    "n33_triaxial1 = []\n",
    "\n",
    "for ai in a:\n",
    "    ellipsoid = mesher.TriaxialEllipsoid(0, 0, 0, ai, b0, c0, -43, 10, -1.7)\n",
    "    N1, N2, N3 = triaxial_ellipsoid.demag_factors(ellipsoid)\n",
    "    n11_triaxial1.append(N1)\n",
    "    n22_triaxial1.append(N2)\n",
    "    n33_triaxial1.append(N3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "editable": true
   },
   "source": [
    "#### Prolate ellipsoids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# semi-axes (in m)\n",
    "b0 = 100\n",
    "a = b0*m[m > 1]\n",
    "\n",
    "# demagnetizing factors\n",
    "n11_prolate = []\n",
    "n22_prolate = []\n",
    "\n",
    "for ai in a:\n",
    "    ellipsoid = mesher.ProlateEllipsoid(0, 0, 0, ai, b0, 0, 40, 1)\n",
    "    N1, N2 = prolate_ellipsoid.demag_factors(ellipsoid)\n",
    "    n11_prolate.append(N1)\n",
    "    n22_prolate.append(N2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "editable": true
   },
   "source": [
    "#### Triaxial ellipsoids 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# semi-axes (in m)\n",
    "a0 = 100.1\n",
    "b0 = 100\n",
    "c = b0*m[m < 1]\n",
    "\n",
    "# demagnetizing factors\n",
    "n11_triaxial2 = []\n",
    "n22_triaxial2 = []\n",
    "n33_triaxial2 = []\n",
    "\n",
    "for ci in c:\n",
    "    ellipsoid = mesher.TriaxialEllipsoid(0, 0, 0, a0, b0, ci, -43, 10, -1.7)\n",
    "    N1, N2, N3 = triaxial_ellipsoid.demag_factors(ellipsoid)\n",
    "    n11_triaxial2.append(N1)\n",
    "    n22_triaxial2.append(N2)\n",
    "    n33_triaxial2.append(N3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "editable": true
   },
   "source": [
    "#### Oblate ellipsoids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# semi-axes (in m)\n",
    "b0 = 100\n",
    "a = b0*m[m < 1]\n",
    "\n",
    "# demagnetizing factors\n",
    "n11_oblate = []\n",
    "n22_oblate = []\n",
    "\n",
    "for ai in a:\n",
    "    ellipsoid = mesher.OblateEllipsoid(0, 0, 0, ai, b0, 15, 100, -7)\n",
    "    N1, N2 = oblate_ellipsoid.demag_factors(ellipsoid)\n",
    "    n11_oblate.append(N1)\n",
    "    n22_oblate.append(N2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA9sAAAS1CAYAAAC70Mh4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nsv8HJRuNR6WWntsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x175a8c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lenght = 3.27\n",
    "plt.close('all')\n",
    "plt.figure(figsize=(lenght, 4))\n",
    "\n",
    "label_fontsize = 10\n",
    "label_tex_fontsize = 10\n",
    "\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.semilogy(m[m > 1], Da[m > 1], 'k-', linewidth=2)\n",
    "plt.semilogy(m[m > 1], n11_prolate, 'r--', linewidth=1.5)\n",
    "plt.semilogy(m[m > 1], n11_triaxial1, 'b-', linewidth=0.5)\n",
    "plt.ylabel('$\\\\tilde{n}^{\\dagger}_{11}$')\n",
    "#plt.xlabel('$m$', fontsize=label_tex_fontsize)\n",
    "plt.xlim(m[m > 1].min(), m[m > 1].max())\n",
    "plt.grid()\n",
    "plt.annotate(s='(a)', xy=(0.92,0.90), \n",
    "              xycoords = 'axes fraction', color='k',\n",
    "              fontsize=label_fontsize)\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.plot(m[m < 1], Da[m < 1], 'k-', linewidth=2)\n",
    "plt.plot(m[m < 1], n11_oblate, 'r--', linewidth=1.5)\n",
    "plt.plot(m[m < 1], n33_triaxial2, 'b-', linewidth=0.5)\n",
    "plt.ylabel('$\\\\tilde{n}^{\\dagger}_{11}$')\n",
    "plt.xlabel('$m$', fontsize=label_tex_fontsize)\n",
    "plt.xlim(m[m < 1].min(), m[m < 1].max())\n",
    "plt.grid()\n",
    "plt.annotate(s='(b)', xy=(0.92,0.90), \n",
    "              xycoords = 'axes fraction', color='k',\n",
    "              fontsize=label_fontsize)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Comparison between the demagnetizing factors calculated here by using our routines and those presented by Stoner (1945, Table I) (continuous black lines). (a) The blue and red lines represent, respectively, the demagnetizing factor $\\tilde{n}^{\\dagger}_{11}$ of triaxial ellipsoids (Eq. 29) and the demagnetizing factor $\\tilde{n}^{\\dagger}_{11}$ of prolate ellipsoids (Eq. 34). (b) The blue and red lines represent, respectively, the demagnetizing factor $\\tilde{n}^{\\dagger}_{33}$ of triaxial ellipsoids (Eq. 31) and the demagnetizing factor $\\tilde{n}^{\\dagger}_{11}$ of oblate ellipsoids (Eq. 36)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
